Chop the white chocolate into small pieces and place it in a blender.,Put the half-and-half in a pot set over medium heat and bring to a simmer.,______,Turn the blender on low and gradually increase the speed to medium high.,Blend for 1 minute to emulsify the chocolate into the hot liquid.,When the chocolate is completely melted and blended into the dairy, add the yogurt.,Blend until smooth.,Pour the yogurt base into a metal bowl set in an ice bath and let cool.,Transfer the base to an airtight container and let it rest overnight in the refrigerator.,The next day, churn the base in an ice cream maker according to the manufacturers instructions.